CHEM 120A Study Guide - Midterm Guide: Radial Distribution Function, Electron Rest Mass, Electronvolt
Document Summary
Chemistry 120a 2nd midterm: (36 pts) for this question, recall the binding energy levels of the hy- drogenic hamiltonian (1-electron): En = me z 2e4/22n2 = e0 z 2/n2 , n = 1, 2, 3, where ze is the nuclear charge, me is the electron mass, and e0 = me e4/22 13. 7 ev. The eigenstates of the h-atom are n,l,m(r, , ) = rn,l(r) yl,m( , ). In these states, the eigenvalues of the operators for square orbital angular momentum, l2, and for the z-component of angular momentum, lz, are 2 l(l + 1) and m, respectively. The quantum number, n, can be described in terms of the radial quantum number, nr, and the quantum of angular momentum, l, by: n = nr + l + 1. 22: for an electron in any nlm, the energy, magnitude of angu- lar momentum, and angular momentum in the z-direction are conserved.
